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Finding the Fourth Proportional to 307,799.92, 461,781.80 and 97,442.16

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Solution

The fourth proportional to 307,799.92, 461,781.80 and 97,442.16 is: 146,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,799.92 : 461,781.80 = 97,442.16 : x
  2. Step 2: Convert to fraction form
    307,799.92/461,781.80 = 97,442.16/x
  3. Step 3: Cross multiply
    307,799.92x = 461,781.80 × 97,442.16
  4. Step 4: Simplify right side
    307,799.92x = 44,997,016,040.69
  5. Step 5: Solve for x
    x = 44,997,016,040.69/307,799.92
  6. Step 6: Final answer
    x = 146,189.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.